212222112202100 has 576 divisors, whose sum is σ = 635744893722624. Its totient is φ = 59349542400000.

The previous prime is 212222112202069. The next prime is 212222112202147. The reversal of 212222112202100 is 1202211222212.

It is a super-2 number, since 2×212222112202100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1112115695 + ... + 1112306505.

It is an arithmetic number, because the mean of its divisors is an integer number (1103723773824).

Almost surely, 2^{212222112202100} is an apocalyptic number.

212222112202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212222112202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317872446861312).

212222112202100 is an abundant number, since it is smaller than the sum of its proper divisors (423522781520524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212222112202100 is a wasteful number, since it uses less digits than its factorization.

212222112202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191168 (or 191161 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212222112202100 its reverse (1202211222212), we get a palindrome (213424323424312).

It can be divided in two parts, 212222112 and 202100, that added together give a palindrome (212424212).

The spelling of 212222112202100 in words is "two hundred twelve trillion, two hundred twenty-two billion, one hundred twelve million, two hundred two thousand, one hundred".